Han Wang

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20182020

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math.KT2020

An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the $K$ -theoretic index

Peter Hochs, Bai-Ling Wang, Hang Wang

Consider a proper, isometric action by a unimodular locally compact group $G$ on a Riemannian manifold $M$ with boundary, such that $M / G$ is compact. Then an equivariant Dirac-type…

math.KT2020

An equivariant orbifold index for proper actions

Peter Hochs, Hang Wang

For a proper, cocompact action by a locally compact group of the form $H \times G$ , with $H$ compact, we define an $H \times G$ -equivariant index of $H$ -transversally elliptic oper…

math.KT2018

Orbital integrals and $K$ -theory classes

Peter Hochs, Hang Wang

Let $G$ be a semisimple Lie group with discrete series. We use maps $K_{0} (C_{r}^{*} G) \to C$ defined by orbital integrals to recover group theoretic information about $G$ , inclu…

An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the K-theoretic index

An equivariant orbifold index for proper actions

Orbital integrals and K-theory classes

An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the $K$ -theoretic index

Orbital integrals and $K$ -theory classes